2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197715Building on the Radon transform of the Vlasov-Poisson equations, a macroscopic fluid model for the coherent beam-beam interaction has been developed. It is shown that the Vlasov equation, expressed in action-angle variables, can be reduced to a closed set of hydrodynamic (fluid) equations for the beam density and current velocity. The linearized one dimensional equations have been analysed, and explicit expressions for the coherent beam-beam tuneshifts are presented.LaTeX, 3 pages, To be presented at the Particle Accelerator Conference (PAC 2001)Accelerator Physicstext